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Finding the Fourth Proportional to 14,213.32, 19,613 and 8,245.38

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Solution

The fourth proportional to 14,213.32, 19,613 and 8,245.38 is: 11,377.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,213.32 : 19,613 = 8,245.38 : x
  2. Step 2: Convert to fraction form
    14,213.32/19,613 = 8,245.38/x
  3. Step 3: Cross multiply
    14,213.32x = 19,613 × 8,245.38
  4. Step 4: Simplify right side
    14,213.32x = 161,716,637.94
  5. Step 5: Solve for x
    x = 161,716,637.94/14,213.32
  6. Step 6: Final answer
    x = 11,377.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.